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%I #8 Jan 27 2013 02:22:23
%S 512,2688,2688,14112,19904,14112,74088,147428,147428,74088,324576,
%T 1075071,1537476,1075071,324576,1421952,6019798,15478835,15478835,
%U 6019798,1421952,6229504,33731024,111211414,209888936,111211414,33731024
%N T(n,k)=Number of (n+2)X(k+2) binary arrays with 3X3 subblock sums nondecreasing rightwards and downwards.
%C Table starts
%C .......512........2688........14112.........74088........324576.......1421952
%C ......2688.......19904.......147428.......1075071.......6019798......33731024
%C .....14112......147428......1537476......15478835.....111211414.....798816802
%C .....74088.....1075071.....15478835.....209888936....1919555447...17494747887
%C ....324576.....6019798....111211414....1919555447...21242244160..235234097572
%C ...1421952....33731024....798816802...17494747887..235234097572.3176962520030
%C ...6229504...188814612...5699887192..156721188699.2571152951156
%C ..24748736...897952936..32614678623.1078797163411
%C ..98322424..4272342678.186554693948
%C .390617891.20338694068
%H R. H. Hardin, <a href="/A186840/b186840.txt">Table of n, a(n) for n = 1..71</a>
%e Some solutions for 5X4
%e ..0..1..0..1....0..0..1..1....0..1..1..0....0..0..0..0....0..0..0..0
%e ..1..1..0..1....0..1..0..1....0..1..0..0....0..1..1..0....0..0..0..1
%e ..0..1..0..0....0..1..1..0....0..0..0..1....1..0..1..1....0..1..0..1
%e ..0..1..1..0....1..1..1..1....1..1..1..1....0..0..1..1....1..0..1..1
%e ..1..1..0..1....1..1..0..1....1..0..1..1....1..0..1..1....0..0..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 27 2011